Olivetti Club

Hannah KeeseCornell University
Knot invariants and representation theory

Tuesday, November 29, 2016 - 4:30pm
Malott 406

One of the central problems in knot theory is determining when two knots are the same, and despite the seeming simplicity of the problem it can be difficult and time-consuming to resolve. The main approach to this question is the study of knot invariants of varying complexity, such as knot groups and polynomial invariants. In recent years, there has been much interest in homological knot invariants, whose extra structure make them interesting from the perspective of representation theory. We will discuss some well-known examples of knot invariants and their links to the representation theory of Lie algebras. Further knot-related puns may be attempted but are (k)not guaranteed.

Refreshments will be served in the lounge at 4:00 PM.